Louise Hay Logic Seminar
Sam Ziegler
UIC
Complete left-invariant metrics for automorphism groups of models
Abstract: Any Polish group can be equipped with a compatible left-invariant metric; however, there may be no compatible
left-invariant metric which is also complete. Groups which do have such a metric are known as CLI groups. In this talk, we will
examine a theorem, due to Gao, characterizing when groups of the form $Aut(\mathcal{M})$ are CLI. It turns out that for such automorphism groups, CLI can be
reformulated as a property of the Scott sentence of $\mathcal{M}$.
Thursday December 5, 2013 at 4:00 PM in SEO 427